What is the Greatest Common Factor of 8154 and 8174?

Greatest common factor (GCF) of 8154 and 8174 is 2.

GCF(8154,8174) = 2

We will now calculate the prime factors of 8154 and 8174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8154 and 8174.

How to find the GCF of 8154 and 8174?

We will first find the prime factorization of 8154 and 8174. After we will calculate the factors of 8154 and 8174 and find the biggest common factor number .

Step-1: Prime Factorization of 8154

Prime factors of 8154 are 2, 3, 151. Prime factorization of 8154 in exponential form is:

8154 = 2¹ × 3³ × 151¹

Step-2: Prime Factorization of 8174

Prime factors of 8174 are 2, 61, 67. Prime factorization of 8174 in exponential form is:

8174 = 2¹ × 61¹ × 67¹

Step-3: Factors of 8154

List of positive integer factors of 8154 that divides 8154 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077

Step-4: Factors of 8174

List of positive integer factors of 8174 that divides 8154 without a remainder.

1, 2, 61, 67, 122, 134, 4087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8154 and 8174. The biggest common factor number is the GCF number.
So the greatest common factor 8154 and 8174 is 2.

Also check out the Least Common Multiple of 8154 and 8174